"From 7am to 7pm she's great sleeper," Alec told HELLO! in an exclusive interview to introduce his little girl. "At night she says, ‘Let's have a conference."
But the proud new parents are more than happy to forgo sleep. "Last night we were sitting there, and you realise, I'm not going to have this moment again. I just want to enjoy every moment," he said.
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"We have trouble sleeping because you just want to stare at her," her besotted mum added.
In beautiful family pictures featured in HELLO!, issue number 1294, Alec, 55, and yoga instructor Hilaria, 29, can been seen cradling and cooing over their beautiful baby girl, who lies serenely in her parents' arms.
Carmen is Alec's second child – he is also a father to 17-year-old Ireland from his marriage to Kim Basinger. New to baby bliss is yoga instructor turned Extra correspondent Hilaria, 29.